Feedback-stabilized dynamical steady states in the Bose-Hubbard model
| Autor: | Ian B. Spielman, Alexey V. Gorshkov, Jeremy T. Young |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Phase transition Quantum Physics Atomic Physics (physics.atom-ph) FOS: Physical sciences Exact differential equation State (functional analysis) Bose–Hubbard model Physics - Atomic Physics Quantum Gases (cond-mat.quant-gas) Weak measurement Limit (mathematics) Statistical physics Quantum Physics (quant-ph) Condensed Matter - Quantum Gases Quantum Quantum fluctuation |
| Popis: | The implementation of a combination of continuous weak measurement and classical feedback provides a powerful tool for controlling the evolution of quantum systems. In this work, we investigate the potential of this approach from three perspectives. First, we consider a double-well system in the classical large-atom-number limit, deriving the exact equations of motion in the presence of feedback. Second, we consider the same system in the limit of small atom number, revealing the effect that quantum fluctuations have on the feedback scheme. Finally, we explore the behavior of modest sized Hubbard chains using exact numerics, demonstrating the near-deterministic preparation of number states, a tradeoff between local and non-local feedback for state preparation, and evidence of a feedback-driven symmetry-breaking phase transition. 10 pages, 8 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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